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School of Mathematical Sciences
राष्ट्रीय विज्ञान शिक्षा एवंअनुसंधान संस्थान
National Institute of Science Education and Research

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  2. Nabin Kumar Jana

Nabin Kumar Jana

By nabinjana on Wed, 09/07/2014 - 20:17
Designation
Reader-F
Joining Date
01/04/2011
Expiry of Tenure
31/03/2043
Research Area
Probability Theory
Education
  • Doctor of Philosophy : From Indian Statistical Institute, Kolkata, India in 2008
  • Master of Science : From Department of Pure Mathematics, University of Calcutta, Kolkata, India in 2000
  • Bachelor of Science : From Ramakrishna Mission Vidyamandira, Howrah, India in 1998 with Mathematics as Honours subject
Research Interest

Disordered systems pops up quite often in physics (spin glass), biology (artificial neural network), social sciences (matching) and many other places. To analyze, usually these systems are identified with the stochastic models. My main research interest is on the application of probabilistic tools to analyze these stochastic models.

Awards

Post-doc fellowship from Hausdorff Center for Mathematics, Bonn, Germany from November, 2008 to October, 2009.

Publications
  1. Absolutely compatible pairs in a von Neumann algebra (2019) EJLA, DOI: https://doi.org/10.13001/ela.2019.5165 (with Anil K. Karn, Antonio M. Peralta)
  2. Contractive linear preservers of absolutely compatible pairs between C* algebras (2019)RACSAM, DOI: https://doi.org/10.1007/s13398-019-00653-0(with Anil K. Karn, Antonio M. Peralta)

  3. Absence of first order transition in the random crystal field Blume–Capel model on a fully connected graph, (2017) J. Phy. A: Math. and Theo.Vol. 50, No. 1 DOI: 10.1088/1751-8113/50/1/015003 (with Sumedha)
  4. Generalized Random Energy Model II, (2007) J. Stat. Phys.(127) DOI: 10.1007/s10955-007-9288-y (with B. V. Rao)
  5. Generalized Random Energy Model, (2006) J. Stat. Phys.(123) DOI: 10.1007/s10955-006-9043-9 (with B. V. Rao)
Preprints
  1. Contributions to Random Energy Models (2007) (Thesis)

  2. Large Deviations and Random Energy Models (2006) (with B. V. Rao)

  3. Exponential Random Energy Model (2005)

Teaching
  • 2018-19:
    • Even: M206: Probability Theory
    • Odd: M603: Analysis I
  • 2017-18:
    • Even: M301: Lebesgue Integration
    • Odd: M201: Real Analysis
  • 2016-17:
    • Summer: M102: General mathematics II
    • Even: M206: Probability Theory
    • Odd: M455: Introduction to Stochastic Processes
  • 2015-16:
    • Even: M102: General Mathematics II
    • Odd: M201: Real Analysis
  • 2014-15:
    • Summer: M101: General Mathematics I
    • Even: M472: Advanced Probability
    • Odd: M201: Analysis I
  • 2013-14:
    • Summer: M101: General Mathematics I
    • Even: M206: Probability Theory
    • Odd: M455: Advanced Probability and Stochastic Processes
  • 2012-13:
    • Summer: M102: General Mathematics II
    • Even: M206: Probability Theory & M305: Statistics
    • Odd: M101: General Mathematics I
  • 2011-12:
    • Even: M206: Probability Theory
    • Odd: M455: Advanced Probability and Stochastic Processes
Project/Thesis Guidance

MSc. Thesis Supervision

  1. Satrajit Mondal, Thesis title: Large Deviation Theory, defended May 2015
  2. Manas Singh, Thesis title: Some Topics in Random Graphs, defended May 2014
  3. Abhishek Samantray, Thesis title: A Survey of Multivariate Volatility Models, defended May 2014.
  4. Abinash Nayak, Thesis title: An Application of Probability Theory in Finance, defended May 2013.
Academic Visits
  • 2017-18:
    1. International Workshop on Economy as Complex System IV, IMSc, Chennai, 13 – 14 November 2017
    2. Lectures on Probability and Stochastic Processes XII, ISI, Kolkata, December 15 - 19, 2017
    3. ISI-NETWORKS Conference in Probabilty, ISI, Kolkata, January 29 - February 02, 2018
  • 2015-16:
    1. Conference in Analysis and Probability, ISI, Delhi, 27 - 29 November 2015
    2. Indo-UK Workshop on Stochastic Partial Differential Equations and Applications, IISc, Bangalore, 9 – 19 December 2015
    3. Lectures on Probability and Stochastic Processes X, IISc, Bangalore, December 13 - 16, 2015
  • 2014-15
    1. Lectures on Probability and Stochastic Processes X, ISI, Kolkata, December 11 - 17, 2014

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